HSPA Math Macro 3b:
Statistical distributions in real-world
situations
Sample Open-ended
Item #2
| For a probability experiment, Mr. Rivas placed
6 red, 8 blue, 4 white, and 6 yellow marbles, all of which
were the same size into a bag. Eighteen students each
made 30 random selections from the bag of marbles, making
sure to record each pick before replacing the marble. The
chart below shows each student’s picks.
- Give the theoretical probability for selecting each
color marble.
- Compare the experimental probability for each color
to the theoretical probability for each color.
- Describe what should happen if the class conducted
the same experiment for 5 days and examined the total
results for each color for the 3,000 picks.
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"0" Response | "1" Response | "2" Response | Top
"0" Response
This response scored a "0"
because it does not communicate a clear understanding of probability,
and no work is shown.
This response scored a "0"
because it shows a very limited understanding of probability,
and it does not provide answers to the questions.
"0" Response | "1" Response | "2" Response | Top
"1" Response
This response scored a "1"
because it shows a basic understanding of probability, but the
student did not finish answering all parts of the question.
"0" Response | "1" Response | "2" Response | Top
"2" Response
This response scored a "2"
because it represents knowledge of probability...but it does not
include all the work needed to justify all answers.
"0" Response | "1" Response | "2" Response | Top
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